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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3x2f(x) = -3x^2\newlineg(x)=−x+1g(x) = -x + 1\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3x2f(x) = -3x^2\newlineg(x)=−x+1g(x) = -x + 1\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Substitute functions into equation: Now we substitute the given functions into the equation. \newlinef(x)=−3x2f(x) = -3x^2\newlineg(x)=−x+1g(x) = -x + 1\newline(f+g)(x)=(−3x2)+(−x+1)(f + g)(x) = (-3x^2) + (-x + 1)
  2. Combine like terms: Combine the like terms to simplify the expression.\newline(f+g)(x)=−3x2−x+1(f + g)(x) = -3x^2 - x + 1\newlineThere are no like terms to combine further, so this is the simplest form of the polynomial.

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